\newproblem{lay:7_2_3}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 7.2.3}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Find the matrix of the quadratic form. Assume $\mathbf{x}$ is in $\mathbb{R}^2$.
	\begin{enumerate}[a.]
		\item $Q(\mathbf{x})=10x_1^2-6x_1x_2-3x_2^2$
		\item $Q(\mathbf{x})=5x_1^2+3x_1x_2$
	\end{enumerate}
}{
   % Solution
	We look for the matrix $A$ such that $Q(\mathbf{x})=\mathbf{x}^TA\mathbf{x}$. It can be easily verified that the solution of this
	problem is 
	\begin{enumerate}[a.]
		\item $A=\begin{pmatrix}10 & -3 \\ -3 & -3 \end{pmatrix}$
		\item $A=\begin{pmatrix}5 & \frac{3}{2} \\ \frac{3}{2} & 0 \end{pmatrix}$
	\end{enumerate}
}
\useproblem{lay:7_2_3}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}

